406670880 has 192 divisors, whose sum is σ = 1597252608. Its totient is φ = 84495360.

The previous prime is 406670861. The next prime is 406670911. The reversal of 406670880 is 88076604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31459 + ... + 42461.

It is an arithmetic number, because the mean of its divisors is an integer number (8319024).

Almost surely, 2^406670880 is an apocalyptic number.

406670880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406670880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798626304).

406670880 is an abundant number, since it is smaller than the sum of its proper divisors (1190581728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406670880 is a wasteful number, since it uses less digits than its factorization.

406670880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11039 (or 11031 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 406670880 is about 20166.0824157792. The cubic root of 406670880 is about 740.8796940264.

The spelling of 406670880 in words is "four hundred six million, six hundred seventy thousand, eight hundred eighty".